Algebra II Review

Factoring

100

The factors of x²+2x-3

What is (x-3)(x+2)?

200

The factors of x²-100

What is (x-10)(x+10)?

300

The factors of x²+4x+4

What is (x+2)²?

400

The factors of 2x²+4x+2

What is 2(x+1)²?

500

The factors of 3x²-12

What is 3(x-2)(x+2)?

Function Operations

100

Given f(x)=2 and g(x)=x, (f-g)(1).

What is 1?

200

Given f(x)=x² and g(x)=2x, (f+g)(x).

What is x²+2x?

300

Given f(x)=x-2 and g(x)=x, (fg)(4)

What is 8?

400

Given f(x)=3 and g(x)=3, (f+g)(0).

What is 9?

500

Given f(x)=3-2x and g(x)=x, (f/g)(0).

What is undefined?

Multiplying Polynomials

100

(x-2)(x+2)

What is x²-4?

200

(x+9)(x-1)

What is x²+8x-9?

300

2(x-2)²

What is 2x²-8x+8?

400

(x-4)(2x-6)

What is 2x²-14x+24?

500

(x+3)(7-x)

What is -x²+4x+21?

Systems of Equations I

100

x=4

x+y=7

What is (4,3)?

200

2x-2=4y

x-2y=1

What is infinitely-many solutions?

300

4x-y=5

8x-2y=6

What is no solutions?

400

x+y=12

2x-y=12

What is (8,4)?

500

2x+3y=10

x+y=4

What is (2,2)?

Systems of Equations II

100

y=0

x+y=0

What is (0,0)?

200

3x=12

y-2=x

What is (4,6)?

300

x+y=-8

2x+5y=-47

What is (1,-9)?

400

x+y=3

x+y=6

What is no solution?

500

x+2y=13

x-10y=-23

What is (7,3)?